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19942026
most citedMass Estimates of a Giant Planet in a Protoplanetary Disk from the Gap Structures

210 citations

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6 papers · 1 filter

math.AP2017★ 10 cited

Global existence for a system of quasi-linear wave equations in D satisfying the weak null condition

Kunio Hidano, Kazuyoshi Yokoyama

We show global existence of small solutions to the Cauchy problem for a system of quasi-linear wave equations in three space dimensions. The feature of the system lies in that it s…

math.AP2015★ 1 cited

Life span of small solutions to a system of wave equations

Kunio Hidano, Kazuyoshi Yokoyama

We study the Cauchy problem with small initial data for a system of semilinear wave equations , in -dimensional space. When $n…

math.AP2014★ 30 cited

Combined effects of two nonlinearities in lifespan of small solutions to semi-linear wave equations

Kunio Hidano, Chengbo Wang, Kazuyoshi Yokoyama

This paper investigates the combined effects of two distinctive power-type nonlinear terms (with parameters ) in the lifespan of small solutions to semi-linear wave equation…

math.AP2013★ 1 cited

On the stationary Navier-Stokes flow with isotropic streamlines in all latitudes on a sphere or a 2D hyperbolic space

Chi Hin Chan, Tsuyoshi Yoneda

In this paper, we show the existence of real-analytic stationary Navier-Stokes flows with isotropic streamlines in all latitudes in some simply-connected flow region on a rotating…

math.AP2011★ 2 cited

Local solvability and loss of smoothness of the Navier-Stokes-Maxwell equations with large initial data

Slim Ibrahim, Tsuyoshi Yoneda

Existence of local-in-time unique solution and loss of smoothness of full Magnet-Hydro-Dynamics system (MHD) is considered for periodic initial data. The result is proven using Fuj…

math.AP2010★ 22 cited

On almost global existence and local well-posedness for some 3-D quasi-linear wave equations

Kunio Hidano, Chengbo Wang, Kazuyoshi Yokoyama

We study the Cauchy problem for a quasilinear wave equation with low-regularity data. A space-time estimate for the variable coefficient wave equation plays a central role fo…